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JOURNALS // Sibirskii Zhurnal Vychislitel'noi Matematiki // Archive

Sib. Zh. Vychisl. Mat., 2010 Volume 13, Number 1, Pages 101–109 (Mi sjvm271)

This article is cited in 1 paper

Features of description of physical processes in fractal spaces

O. N. Khatuntseva

S. P. Korolev Rocket and Space Corporation "Energia", Korolev, Moscow region

Abstract: This paper offers a method of description of physical processes that take place in fractal spaces with the use of differential equations. The latter describe similar processes in the Euclidean spaces, introducing an additional coordinate that specifies the point-wise scale of fractal partitioning at each point.

Key words: fractal, fractional dimension, scaling.

UDC: 530.1

Received: 18.03.2009
Revised: 20.04.2009


 English version:
Numerical Analysis and Applications, 2010, 3:1, 82–89

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